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3 years ago

If r = 11 units and h = 8 units, then what is the volume of the cylinder shown above?

Mathematics

1 answer:

zhenek [66]3 years ago

6 0

Answer:

968π ≈ 3041 . . . cubic units

Step-by-step explanation:

The usual formula for the volume of a cylinder is ...

V = πr²h

For your given dimensions, the volume is found by putting the values into the formula and doing the arithmetic.

V = π(11²)(8) = 968π . . . . cubic units

V ≈ 3041 cubic units

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Which option equals tan 40°? Select all that apply.

Sonbull [250]

Answers:
(sin40)/(cos40) and
(cos50)/(sin50)

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2 years ago

Several intervals can be combined into one region using the "set union" operation, ∪∪, which is represented as "u" in webwork. f

alekssr [168]

Write the set of points from -6 to 0 but excluding -4 and 0 as a union of intervals

First we take the interval -6 to 0. In that -4 and 0 are excluded.

So we split the interval -6 to 0.

Start with -6 and go up to -4. -4 is excluded so we break at -4. Also we use parenthesis for -4.

Interval becomes [-6,-4) . It says -6 included but -4 excluded.

Next interval starts at -4 and ends at 0. -4 and 0 are excluded so we use parenthesis not square brackets

(-4,0)

Now we take union of both intervals

[-6,-4) U (-4,0) --- Interval from -6 to 0 but excluding -4 and 0

7 0

2 years ago

I=prt,for p please show step by step for this variable

Bond [772]

Answer:

$p = \dfrac{I}{rt}$

Step-by-step explanation:

I = prt

Switch sides.

prt = I

We are solving for p. We want p alone on the left side. p is being multiplied by r and t, so we divide both sides by r and t.

$\dfrac{prt}{rt} = \dfrac{I}{rt}$

$p = \dfrac{I}{rt}$

8 0

3 years ago

Investigate the difference between compounding annually and simple interest

Gennadij [26K]

Step-by-step explanation:

Simple interest formula

$A = P (1 + rt)$

Compound interest formula

$A = P(1 + \frac{r}{n})^{nt}$

$A = 5000 (1 + 0.025*1)\\A=5000(1.025)\\A=5125$

Simple interest is $125

. $A = 5000 (1 + \frac{0.025}{1})^{1*1} \\A=5000(1.025)\\A= 5125$

Compound interest is $125

c. the result for both a and b are the same

$A = 5000 (1 + 0.025*3) \\A=5000(1.075) \\A=5375$

the simple interest is $375

. $A = 5000 (1 + \frac{0.025}{1})^{1*3}] \\A=5000(1.025)^3 \\A=5000(1.077)\\A= 5385$

the compound interest is $385

f. the result compared, compound interest is $10 more than simple interest

$A = 5000 (1 + 0.02*6) \\A=5000(1.12) \\A=5600$

the simple interest is $600

$A = 5000 (1 + \frac{0.02}{1})^{1*6}] \\A=5000(1.12)^6 \\A=5000(1.9738) \\A= 9869$

the compound interest is $4869

i. the result from g and h, h is over 8 times bigger than g.

j. interest compound annually is not the same as simple interest, only for the case of a and b seeing that it is for 1 year. but for 2years and above there is difference as seen in c to h

6 0

2 years ago

Sherman has 3 cats and 2 dogs. He wants to buy a toy for each of pets.Sherman has $22 to spend on pet toys,How much can he spend

Finger [1]

He can spend $4.40 on each pet
4.4/22 .
You just have to divide $22 by 5 since Sherman has 5 pets in total

5 0

2 years ago